and in conjunction with \( \tilde{\mathbf {\Psi }}^{(8)}_{\;2}(u)\)  constitute a pair of degenerate eigenfunctions as stated in
[1]}. In fact, the solution mentioned in [1]}
comes from expansions in series of \(\mathrm {sn}^2u\) , namely,
\(\begin{array}{l}\displaystyle \tilde{\psi }^{(5)}(u)\stackrel{\text{(\ref {ps5-B}})}{=}\frac{\tilde{{b}}_{\;0}^{(5)}}{\mathrm {dn}^{1/2}u}\left\lbrace 1-\frac{1}{2}\left({\cal E}-\frac{k^2}{4}\right)\mathrm {sn}^2u+ \right.\vspace{8.53581pt} \\\hspace{62.59596pt}\left.\frac{k^2}{3}\left[4+\frac{1}{8k^2}\left({\cal E}-\frac{k^2}{4}\right)\left({\cal E}-4-\frac{9}{4}k^2\right)\right]\mathrm {sn}^4u\right\rbrace ,\end{array}\) 
